Geodesic
Estimation of efficiency of the Bol'shev decision rule in the problem of distinguishing two hypotheses
Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part 8, Tome 166 (1988), pp. 129-142

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Estimation of the efficiency of Bolshev's decision rule is discussed. There is one generalization in case of two composite hypothesis when the sufficient statistics existe. 
@article{ZNSL_1988_166_a14,
     author = {M. S. Nikulin},
     title = {Estimation of efficiency of the {Bol'shev} decision rule in the problem of distinguishing two hypotheses},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {129--142},
     publisher = {mathdoc},
     volume = {166},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1988_166_a14/}
}
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M. S. Nikulin. Estimation of efficiency of the Bol'shev decision rule in the problem of distinguishing two hypotheses. Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part 8, Tome 166 (1988), pp. 129-142. http://geodesic.mathdoc.fr/item/ZNSL_1988_166_a14/